516-0881/02 – Theory of Signal Processing (TZS)

Gurantor departmentInstitute of PhysicsCredits5
Subject guarantordoc. Dr. Ing. Michal LesňákSubject version guarantordoc. Dr. Ing. Michal Lesňák
Study levelundergraduate or graduateRequirementChoice-compulsory
Year1Semesterwinter
Study languageCzech
Year of introduction2013/2014Year of cancellation
Intended for the facultiesUSP, HGFIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
LES66 doc. Dr. Ing. Michal Lesňák
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2

Subject aims expressed by acquired skills and competences

To know signal classification and methods of processing with emphasis on mathematical methods of signal processing for the description of technological processes.

Teaching methods

Lectures

Summary

The subject is drawn up as a theoretical subject of basic technical Master study. It deals with studies of both analogue and digital deterministic and stochastic signals. The most important part is devoted to processing of noises (white, ping). All mathematical methods standard for analyses and processing of signals, especially theory of probability and statistics, are widely used.

Compulsory literature:

Alan V. Oppenheim: Digital Signal Processing. ISBN-10: 0132146355.

Recommended literature:

Alan V. Oppenheim: Digital Signal Processing. ISBN-10: 0132146355.

Way of continuous check of knowledge in the course of semester

E-learning

Další požadavky na studenta

Systematic preparation for lectures

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Historical development, current situation and development perspectives of the theory of signal. Use signals and signal systems in science and technology. Signals and their classification. Examples of signals and their spectra. Deterministic signals. Spectral analysis of signals. Harmonious process. Periodic waveforms. Performance ratios for periodic waveforms (Parseval's theorem). Non-periodic waveforms. Energy ratios for non-periodic curves (Rayleigh theorem). Properties of signals and spectra (additivity, superposition, convolution). Elementary functions and their transformation (unit jump, the unit impulse). Discrete Fourier transformation. Fast Fourier transformation. Sampling signals. Principles of sampling. Shannon- Kotělnikovova (sampling) theorem. Spectrum of sampled signal. Stochastic signals. Stochastic properties of signals. Probability of occurrence of the phenomenon (the phenomenon of probability, statistical definition probability, geometrical definition of probability). Random variables (Partition function, numerical characteristics of random variables, some types of distribution of random variables). Systems of random variables. Functions of random variables. Random processes. Statistics random process. Stationary Random processes. Ergodic random processes. Autokovarianční function. Autocorrelation function. The mutual correlation function. Mathematical methods of signal processing. Fourier analysis signal (Fourier series, Fourier integral, Fourier transform). Laplace transformation. Wagner-Laplace transformation. Bilinear transformation. Z-transform. Hilbert transformation. Walsh transformation. Haar transformation. Window transformation. Wavelet transform. Linear signal transmission system. Transfer factor. Pulse characteristics. Step response. Linear distortion. Nonlinear distortion.

Conditions for subject completion

Full-time form (validity from: 2012/2013 Winter semester, validity until: 2017/2018 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
        Exercises evaluation Credit 30  18
        Examination Examination 70  21
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2017/2018 (N1701) Physics (1702T001) Applied Physics P Czech Ostrava 1 Choice-compulsory study plan
2016/2017 (N1701) Physics (1702T001) Applied physics P Czech Ostrava 1 Choice-compulsory study plan
2016/2017 (N1701) Physics (1702T001) Applied Physics P Czech Ostrava 1 Choice-compulsory study plan
2015/2016 (N1701) Physics (1702T001) Applied physics P Czech Ostrava 1 Choice-compulsory study plan
2014/2015 (N1701) Physics (1702T001) Applied physics P Czech Ostrava 1 Choice-compulsory study plan
2013/2014 (N1701) Physics (1702T001) Applied physics P Czech Ostrava 1 Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner